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1 year ago

Hi, can you help me answer this question, please, thank you:)

Mathematics

1 answer:

elixir [45]1 year ago

3 0

EXPLANATION

We have that the area under the probability density curve is equal to 1.

As the width of the rectangle is 2, the height must be 1/2.

Then, the probability that X is between 0.2 and 1.54 is as follows:

P = 1/2 ( 1.54 - 0.2 )

= 0.67

Hence, the probability is 0.67

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One of the diagonals of a rhombus of perimeter 120m is 36m. Find its area and the length of the other diagonal. pls answer fastt

mash [69]

Answer: $864\ m^2,\ 24\ m$

Step-by-step explanation:

Given

Perimeter of the rhombus is $120\ m$

Length of one of the diagonal is $d_1=36\ m$

All the sides of the rhombus are equal

$\Rightarrow 4a=120\\\Rightarrow a=30\ m$

Area of the rhombus with side and one diagonal is

$\Rightarrow \text{Area=}\dfrac{1}{2}d\sqrt{4a^2-d^2}$

Insert the values

$\Rightarrow \text{Area=}\dfrac{1}{2}\times 36\times \sqrt{4\cdot 30^2-36^2}\\\\\Rightarrow \text{Area= }18\sqrt{3600-1296}\\\Rightarrow \text{Area= }18\times 48\\\Rightarrow \text{Area= }864\ m^2$

Area with two diagonals length can be given by

$\Rightarrow \text{Area =}0.5\times d_1\times d_2 \\\text{Insert the values}\\\Rightarrow 864=36\times d_2\\\Rightarrow d_2=24\ m$

Thus, the area of the rhombus is $864\ m^2$ and the length of the other diagonal is $24\ m$

4 0

3 years ago

A pet store has 32 more dogs than cats. If there are a total of 144 dogs and cats altogether, then how many cats does the pet st

vodka [1.7K]

Answer:

56 cats

88 dogs

Step-by-step explanation:

x=cats

x+32=dogs

x+x+32=144

2x=144-32

2x=112

x=112/2

x=56 (56 cats)

x+32=88 (88 dogs)

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3 years ago

Read 2 more answers

What is 96 ÷ 16 + (25x2) -15-3?

marysya [2.9K]

96/16+ (25*2) -15 -3
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= 56 -15 -3
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The final answer is 38~

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3 years ago

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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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3 years ago

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tresset_1 [31]

Answer:

see below

Step-by-step explanation:

The circumference is given by

C = pi *d

C = 15.5 pi

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C = 15.5 * 3.14

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3 years ago